In an appearance at the Aspen Ideas Festival just hours after the Supreme Court released its 5-4 ruling, Mrs. Clinton reiterated that she supports abortion rights and said she worried the high court ruling might signal new trend impinging on women’s rights.

“I find it deeply disturbing that we are going in that direction,” Mrs. Clinton said, in response to a question relayed to her from Facebook by the moderator, Walter Isaacson.

Her remarks offered a glimpse into the kinds of Supreme Court nominations she might make if she wins the presidency in 2016. Mrs. Clinton, who is considering a presidential bid, would be the leading Democratic candidate should she enter the race.

Mr. Isaacson started the question by wondering if Mrs. Clinton had been briefed on the case. The former secretary of state quickly made clear she had looked hard at the main ruling and a concurring opinion.

“It’s the first time that our court has said that a closely held corporation has the rights of a person when it comes to religious freedom …” said Mrs. Clinton,

Mrs. Clinton added: “It is very troubling that a sales clerk at Hobby Lobby who needs contraception, which is pretty expensive, is not going to get that service through her employer’s health-care plan because her employer doesn’t think she should be using contraception.”

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Washington Wire is one of the oldest standing features in American journalism. Since the Wire launched on Sept. 20, 1940, the Journal has offered readers an informal look at the capital. Now online, the Wire provides a succession of glimpses at what’s happening behind hot stories and warnings of what to watch for in the days ahead. The Wire is led by Reid J. Epstein, with contributions from the rest of the bureau. Washington Wire now also includes Think Tank, our home for outside analysis from policy and political thinkers.